Respuesta :
Given:
The given data:
[tex]34,\text{ 75, 26, 81, 65, 38, 49}[/tex]Solution
The median of the original data would have to be obtained to know the change when a new value is added:
First, we re-arrange the given data:
[tex]26,\text{ 34, 38, 49, 65, 75, 81}[/tex]The median is the value in the middle of the dataset.
[tex]\text{Median = 49}[/tex]When 1213 is added to the original dataset, we have the new dataset below:
[tex]26,\text{ 34, 38, 49, 65, 75, 81, 1213}[/tex]The new median is the average of the two values at the center:
[tex]\begin{gathered} \text{Median = }\frac{49\text{ + 65}}{2} \\ =\text{ 57} \end{gathered}[/tex]The change is the difference between the new median and the original median:
[tex]\begin{gathered} \text{Change = 57 - 49 } \\ =\text{ 8} \end{gathered}[/tex]Answer : It increases by 8 (option B)
